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2112220000 = 2554119601
BaseRepresentation
bin111110111100101…
…1110101101100000
312110012111220010101
41331321132231200
513311212020000
6545332112144
7103225400542
oct17571365540
95405456111
102112220000
11994325170
124ab465654
132787a9027
1416074b692
15c567ce6a
hex7de5eb60

2112220000 has 120 divisors (see below), whose sum is σ = 5669366472. Its totient is φ = 768000000.

The previous prime is 2112219917. The next prime is 2112220031. The reversal of 2112220000 is 222112.

It is a super-2 number, since 2×21122200002 = 8922946656800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 215200 + ... + 224800.

Almost surely, 22112220000 is an apocalyptic number.

2112220000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2834683236).

2112220000 is an abundant number, since it is smaller than the sum of its proper divisors (3557146472).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2112220000 is an equidigital number, since it uses as much as digits as its factorization.

2112220000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9642 (or 9619 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 2112220000 is about 45958.8946777444. The cubic root of 2112220000 is about 1283.0582795395.

Adding to 2112220000 its reverse (222112), we get a palindrome (2112442112).

The spelling of 2112220000 in words is "two billion, one hundred twelve million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 80 88 100 110 125 160 176 200 220 250 275 352 400 440 500 550 625 800 880 1000 1100 1250 1375 1760 2000 2200 2500 2750 4000 4400 5000 5500 6875 8800 9601 10000 11000 13750 19202 20000 22000 27500 38404 44000 48005 55000 76808 96010 105611 110000 153616 192020 211222 220000 240025 307232 384040 422444 480050 528055 768080 844888 960100 1056110 1200125 1536160 1689776 1920200 2112220 2400250 2640275 3379552 3840400 4224440 4800500 5280550 6000625 7680800 8448880 9601000 10561100 12001250 13201375 16897760 19202000 21122200 24002500 26402750 38404000 42244400 48005000 52805500 66006875 84488800 96010000 105611000 132013750 192020000 211222000 264027500 422444000 528055000 1056110000 2112220000